Search a number
-
+
66227301504 = 27327134331459
BaseRepresentation
bin111101101011011101…
…000110110010000000
320022221111100111110200
4331223131012302000
52041113142122004
650231400525200
74533113526450
oct755335066200
9208844314420
1066227301504
11260a5648931
1210a03480800
13632594bb90
1432c394dd60
151ac92d9239
hexf6b746c80

66227301504 has 384 divisors, whose sum is σ = 235257859200. Its totient is φ = 17414258688.

The previous prime is 66227301499. The next prime is 66227301509. The reversal of 66227301504 is 40510372266.

66227301504 is a `hidden beast` number, since 66 + 22 + 73 + 0 + 1 + 504 = 666.

66227301504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66227301499) and next prime (66227301509).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66227301509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45391527 + ... + 45392985.

It is an arithmetic number, because the mean of its divisors is an integer number (612650675).

Almost surely, 266227301504 is an apocalyptic number.

66227301504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66227301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117628929600).

66227301504 is an abundant number, since it is smaller than the sum of its proper divisors (169030557696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66227301504 is a wasteful number, since it uses less digits than its factorization.

66227301504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 66227301504 in words is "sixty-six billion, two hundred twenty-seven million, three hundred one thousand, five hundred four".